We divide 101905 by 51
We want to figure out the number of times 101905 can be divided by 51.

Moving on to step 1:
The number 51 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 51

Advancing to step 2:
51 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 51

Advancing to step 3:
If we divide 101 by 51, we get 1 and a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 51 from 101, we get 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 51

Let's proceed to step 4:
If we divide 509 by 51, we get 9 and a remainder of 50.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 459 from 509 leaves us with 50.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 51

Step 5:
When dividing 500 by 51, we get 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 199.0
The remainder is 41 after subtracting 459 from 500.
Include the next digit (5) from the dividend after 41, then repeat: 415 / 51

Moving on to step 6:
51 can be fit into 415 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 1998.0
If we subtract 408 from 415, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 51 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 1998.1
If we subtract 51 from 70, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
If we divide 190 by 51, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 1998.13
If we take 153 away from 190, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
When dividing 370 by 51, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 1998.137
Deduct 357 from 370 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1998.1372
Subtract 102 from 130 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
The number 51 fits into 280 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1998.13725
The remainder is 25 after subtracting 255 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
250 divided by 51 is 4 with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 1998.137254
Subtract 204 from 250 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
If we divide 460 by 51, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1998.1372549
Deduct 459 from 460 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
51 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1998.1372549
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 1998.1372549, and the remainder is 1e-08.